Questions: The table contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2014. The regression model for this data is y=0.63x+0.01 where x is the state population (in millions) and y is the number of licensed drivers (in millions) in the state. Licensed Drivers in 2014 State Population Licensed Drivers A 0.78 0.51 B 0.92 0.59 C 0.90 0.63 D 0.75 0.49 E 0.83 0.54 F 0.81 0.39 O 0.50 0.38 (A) Draw a scatter plot of the data and a graph of the model on the same axes. Choose the correct graph below. A. a. c. 0. (b) if the population of state H in 2014 was about 1.8 million, use the model to estimate the number of licensed drivers in state H in 2014. The estimated number of licensed drivers in state H in 2014 is (Type a whole number. Round to the nearest thousand as needed.)

The table contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2014. The regression model for this data is y=0.63x+0.01 where x is the state population (in millions) and y is the number of licensed drivers (in millions) in the state. Licensed Drivers in 2014 State Population Licensed Drivers A 0.78 0.51 B 0.92 0.59 C 0.90 0.63 D 0.75 0.49 E 0.83 0.54 F 0.81 0.39 O 0.50 0.38 (A) Draw a scatter plot of the data and a graph of the model on the same axes. Choose the correct graph below. A. a. c. 0. (b) if the population of state H in 2014 was about 1.8 million, use the model to estimate the number of licensed drivers in state H in 2014. The estimated number of licensed drivers in state H in 2014 is (Type a whole number. Round to the nearest thousand as needed.)
Transcript text: The table contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2014. The regression model for this data is $y=0.63 x+0.01$ where $x$ is the state population (in millions) and $y$ is the number of licensed drivers (in millions) in the state. Licensed Drivers in 2014 \begin{tabular}{l|c|c} \hline State & Population & Licensed Drivers \\ \hline A & 0.78 & 0.51 \\ B & 0.92 & 0.59 \\ C & 0.90 & 0.63 \\ D & 0.75 & 0.49 \\ E & 0.83 & 0.54 \\ F & 0.81 & 0.39 \\ O & 0.50 & 0.38 \\ & \end{tabular} (A) Draw a scatter plot of the data and a graph of the model on the same axes. Choose the correct graph below. A. a. c. 0. (b) if the population of state H in 2014 was about 1.8 million, use the model to estimate the number of licensed drivers in state H in 2014. The estimated number of licensed drivers in state H in 2014 is $\square$ (Type a whole number. Round to the nearest thousand as needed.)
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Solution

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Solution Steps

Step 1: Identify the given data and the regression model

The table provides the state population and the number of licensed drivers in 2014 for states with populations under 1 million. The regression model is given by \( y = 0.63x + 0.01 \), where \( x \) is the state population (in millions) and \( y \) is the number of licensed drivers (in millions).

Step 2: Draw a scatter plot and graph the model

To draw the scatter plot and graph the model, we need to plot the given data points and the regression line on the same axes. The correct graph is identified as option B, which shows the data points and the regression line \( y = 0.63x + 0.01 \).

Step 3: Estimate the number of licensed drivers for a given population

If the population of state H in 2014 was about 1.8 million, we use the regression model to estimate the number of licensed drivers. Substitute \( x = 1.8 \) into the regression equation: \[ y = 0.63(1.8) + 0.01 \] \[ y = 1.134 + 0.01 \] \[ y = 1.144 \] Rounding to the nearest thousand, the estimated number of licensed drivers is 1.144 million.

Final Answer

  1. The correct scatter plot and graph of the model is option B.
  2. The estimated number of licensed drivers in state H in 2014 is approximately 1.144 million.
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